8th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.
1.Ava thinks of a number, multiplies it by 2 and then adds 13. The answer is 51. Write an equation and find the number.
Answer: 19
- Let the number be n: 2n + 13 = 51
- 2n = 38
- n = 19
2.Kai thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 45. What was the number?
Answer: 14
- 5(n − 5) = 45
- n − 5 = 9
- n = 14
3.Noah thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 32. What was the number?
Answer: 20
- 4(n − 12) = 32
- n − 12 = 8
- n = 20
4.Grace thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 2. What was the number?
Answer: 13
- 2(n − 12) = 2
- n − 12 = 1
- n = 13
5.Kai thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 105. What was the number?
Answer: 23
- 5(n − 2) = 105
- n − 2 = 21
- n = 23
6.Hunter thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 24. What was the number?
Answer: 10
- 3(n − 2) = 24
- n − 2 = 8
- n = 10
7.Chloe thinks of a number, multiplies it by 5 and then adds 7. The answer is 32. Write an equation and find the number.
Answer: 5
- Let the number be n: 5n + 7 = 32
- 5n = 25
- n = 5
8.Jayden thinks of a number, multiplies it by 6 and then adds 9. The answer is 87. Write an equation and find the number.
Answer: 13
- Let the number be n: 6n + 9 = 87
- 6n = 78
- n = 13
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.